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12412210344 = 2335371137437
BaseRepresentation
bin10111000111101001…
…10100110010101000
31012001000202121122020
423203310310302220
5200410011212334
65411352424440
7616405022112
oct134364646250
935030677566
1012412210344
11529a407386
1224a49a8120
13122a68ca81
1485a6803b2
154c9a46e49
hex2e3d34ca8

12412210344 has 64 divisors (see below), whose sum is σ = 32061536640. Its totient is φ = 4002136320.

The previous prime is 12412210241. The next prime is 12412210361. The reversal of 12412210344 is 44301221421.

12412210344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21594 + ... + 159030.

It is an arithmetic number, because the mean of its divisors is an integer number (500961510).

Almost surely, 212412210344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412210344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030768320).

12412210344 is an abundant number, since it is smaller than the sum of its proper divisors (19649326296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12412210344 is a wasteful number, since it uses less digits than its factorization.

12412210344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137570 (or 137566 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12412210344 its reverse (44301221421), we get a palindrome (56713431765).

The spelling of 12412210344 in words is "twelve billion, four hundred twelve million, two hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 71 106 142 159 212 213 284 318 424 426 568 636 852 1272 1704 3763 7526 11289 15052 22578 30104 45156 90312 137437 274874 412311 549748 824622 1099496 1649244 3298488 7284161 9758027 14568322 19516054 21852483 29136644 29274081 39032108 43704966 58273288 58548162 78064216 87409932 117096324 174819864 234192648 517175431 1034350862 1551526293 2068701724 3103052586 4137403448 6206105172 12412210344